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Finding the Third Proportional to 96,779.81 and 208,390.22

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Solution

The third proportional to 96,779.81 and 208,390.22 is: 448,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,779.81 : 208,390.22 = 208,390.22 : x
  2. Step 2: Convert to fraction form
    96,779.81/208,390.22 = 208,390.22/x
  3. Step 3: Cross multiply
    96,779.81x = 208,390.22 × 208,390.22
  4. Step 4: Simplify right side
    96,779.81x = 43,426,483,270.67
  5. Step 5: Solve for x
    x = 43,426,483,270.67/96,779.81
  6. Step 6: Final answer
    x = 448,714.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.